Analytical treatment of Volterra integro-differential equations of fractional order

被引：19
|
作者：
Sayevand, Khosro [1 ]
机构：
[1] Malayer Univ, Fac Math Sci, Malayer, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 15期
关键词：
Volterra integro-differential equations of fractional order; Caputo fractional derivative; Riemann-Liouville fractional derivative; Stability; Convergence; VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATIONS; COLLOCATION METHOD; NUMERICAL-SOLUTION; CONSTRUCTION; DERIVATIVES;
D O I：
10.1016/j.apm.2014.12.024
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, Volterra integro-differential equations of fractional order is investigated by means of the variational iteration method. The fractional derivative is described in the Caputo sense. Moreover, stability and convergence of the proposed scheme are analyzed. Finally, some examples are presented to illustrate the theoretical results. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：4330 / 4336
页数：7
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